I am curious, what is "time saving," how is it performed and what is the purpose?
As has been written in previous posts, Type 304 and Type 304L are subject to pitting in a marine environment. Type 316L can be used satisfactorially in a marine environment up to approximately 100 deg F...
It seems most unlikely that there is a significant difference in properties from cooling to 60F vs. 90F. If there really is a problem, it is likely related to one of the higher temperature cycles.
SA-212 Grade B was replaced by SA-515-70. Reference to the current allowable stresses for SA-515-70 may be useful for your needs if you do not have access to the out-of-date editions of ASME Sect. VIII.